h-net: hqc1217


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {5.5.5.5}{5.8.5}{5.8.8}{8.8.8}
Vertex coordination sequence [(4, 10, 14, 22, 36, 56, 88, 134, 198, 306), (3, 7, 12, 19, 31, 50, 75, 115, 178, 271), (3, 6, 12, 19, 30, 47, 72, 112, 175, 268), (3, 6, 12, 21, 30, 45, 72, 114, 177, 276)]
Delaney-Dress Symbol <1217.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 8,4 3 3 3>
Dual net hqc959

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc13750 Pm-3m 221 cubic {4,3,3,3} 68 (4,4)
Full image sqc13741 I4132 214 cubic {4,3,3,3} 68 (4,5)
Full image sqc11603 P4232 208 cubic {4,3,3,3} 34 (4,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4337 *2223 (4,4,2) {4,3,3,3} {5.5.5.5}{5.8.5}{5.8.8}{8.8.8} Snet sqc13750 Snet sqc13741 Snet sqc11603

Symmetry-lowered hyperbolic tilings